Title: New exact analytical results for two quasiparticle excitation in the fractional quantum Hall effect
Author(s):

Z. Bentalha (University of Tlemcen, Theoretical Physics Laboratory, 13000 Tlemcen, Algeria)

In this work, two quasiparticle excitation energies per particle are calculated analytically for systems with up to N = 7 electrons in both Laughlin and composite fermions (CF) theories by considering the full jellium potential which consists of three parts, the electron-electron, electron-background, and background-background Coulomb interactions. The exact results we have obtained confirm the fact that the CF-wavefunction for two quasiparticles has lower energy than Laughlin wavefunction though the found difference between Laughlin and (CF) two quasiparticle energies decreases as the system size increases.

Key words: fractional quantum Hall effect, strongly correlated systems, quasiparticle excitations
PACS: 73.43.-f, 73.43.Cd

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